Properties

Label 8.32-1.0.2-32-32.4
Genus \(8\)
Quotient genus \(0\)
Group \(C_{32}\)
Signature \([ 0; 2, 32, 32 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_{32}$
Group identifier: $[32,1]$
Signature: $[ 0; 2, 32, 32 ]$
Conjugacy classes for this refined passport: $2, 20, 21$

The full automorphism group for this family is $\SD_{64}$ with signature $[ 0; 2, 4, 32 ]$.

Jacobian variety group algebra decomposition:$A_{8}$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.32-1.0.2-32-32.4.1

  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32)
  (1,29,15,22,8,25,11,18,4,32,13,23,6,28,9,19,2,30,16,21,7,26,12,17,3,31,14,24,5,27,10,20)
  (1,19,10,28,5,23,14,32,3,18,12,25,7,22,16,29,2,20,9,27,6,24,13,31,4,17,11,26,8,21,15,30)